3625950900 has 144 divisors (see below), whose sum is σ = 12325336128. Its totient is φ = 811392000.

The previous prime is 3625950871. The next prime is 3625950917. The reversal of 3625950900 is 90595263.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 640 + ... + 85160.

It is an arithmetic number, because the mean of its divisors is an integer number (85592612).

Almost surely, 2^3625950900 is an apocalyptic number.

3625950900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3625950900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6162668064).

3625950900 is an abundant number, since it is smaller than the sum of its proper divisors (8699385228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3625950900 is a wasteful number, since it uses less digits than its factorization.

3625950900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84562 (or 84555 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 39.

The square root of 3625950900 is about 60215.8691708423. The cubic root of 3625950900 is about 1536.2927213789.

The spelling of 3625950900 in words is "three billion, six hundred twenty-five million, nine hundred fifty thousand, nine hundred".